29 points! answer asap . which statements about the dilation are true? check all that apply. (multiple choice question) (image provided below)
a. the center of dilation is point c
b. it is a reduction
c. it is an enlargement
d. the scale factor is 2.5
e. the scale factor is 2/5

A. The center of dilation is point C.

B.  It is a reduction.

E.  The scale factor is 2/5.

Step-by-step explanation:

The center is shown as C.  You can see this from the line segments they drew through C, the image, and the pre-image.

The pre-image is the image before the dialation.  The pre-image here is XYZ.

The image is the image after dialation. The image is X'Y'Z'.

If you look at the pre-image XYZ and then it's image X'Y'Z', ask yourself the image get smaller or larger.  To me I see a larger triangle being reduce to a smaller triangle so this is a reduction.

The scale factor cannot be bigger than 1 because the image shrunk so D is definitely not a possibility.

E. is a possibility but let's actually find the scale factor to see.

We can calculate or or to find out what the scale factor is.

.

The scale factor is 2/5.

true

explanation: